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On Approximate Solutions of a Fractional Chemotaxis-Haptotaxis Model via two Computational Schemes

Authors: Okposo NI, Okposo EN, Ossaiugbo MI

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In this paper, the q-homotopy analysis transform method (q-HATM) and homotopy perturbation transform method (HPTM) were employed to obtain analytic series solutions for a coupled system of nonlinear time-fractional chemotaxis-haptotaxis model. The applied methods yielded solutions in the form of convergent series and does not involve discretization or linearization. Furthermore, the obtained analytical results were compared for both methods via graphical representations for distinct arbitrary order with a view to demonstrating the efficiency of the methods in handling even more complex nonlinear systems from mathematical biology.

Affiliations: Department of Mathematics, Delta State University, Abraka, PMB 1, Abraka, Delta State, Nigeria.
Keywords: Cancer-invasion, Chemotaxis-haptotaxis Model, Caputo Derivative, Q-homotopy Analysis Transform Method, Homotopy Perturbation Tra
Published date: 2021/06/30

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ISSN: 2635-3342 (Print)

ISSN: 2635-3350 (Online)

DOI: In progress

ISI Impact Factor: In progress

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Chemical Engineering Department, Faculty of Engineering, University of Benin, PMB 1154, Ugbowo, Benin City, Edo State, Nigeria.